Consider an infinite solenoid of radius r = 10 cm, aligned vertically, with a interior, vertical magnetic field of B = 1 Tesla. (a) What is the magnetic field at a distance of 100 cm from the axis of the solenoid? (b) What is the magnetic flux, , across the cross-section of the solenoid? (c) Show that the combination e/h is dimensionless, where e is the electron charge and h is Planck's constant. (d) Two electrons, starting from the same point, traverse horizontally, separate and circle around the solenoid, straddling it in opposite sides, and meet up again later. The quantum wavefunctions of the two electrons will differ in phase by how many radians when they meet?